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Finding the Fourth Proportional to 252.50, 376.24 and 225.25

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Solution

The fourth proportional to 252.50, 376.24 and 225.25 is: 335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 376.24 = 225.25 : x
  2. Step 2: Convert to fraction form
    252.50/376.24 = 225.25/x
  3. Step 3: Cross multiply
    252.50x = 376.24 × 225.25
  4. Step 4: Simplify right side
    252.50x = 84,748.06
  5. Step 5: Solve for x
    x = 84,748.06/252.50
  6. Step 6: Final answer
    x = 335.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.